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Finding the Fourth Proportional to 398.03, 550.04 and 299.61

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Solution

The fourth proportional to 398.03, 550.04 and 299.61 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.03 : 550.04 = 299.61 : x
  2. Step 2: Convert to fraction form
    398.03/550.04 = 299.61/x
  3. Step 3: Cross multiply
    398.03x = 550.04 × 299.61
  4. Step 4: Simplify right side
    398.03x = 164,795.99
  5. Step 5: Solve for x
    x = 164,795.99/398.03
  6. Step 6: Final answer
    x = 414.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.